We analyze the limiting problem for the anisotropic $p$-Laplacian ($p\rightarrow\infty$) on convex sets, with the mean of the viscosity solution. We also prove some geometric properties of eigenvalues and eigenfunctions. In particular, we show the validity of a Szegö-Weinberger type inequality.
"The anisotropic $\infty$-Laplacian eigenvalue problem with Neumann boundary conditions." Differential Integral Equations 32 (11/12) 705 - 734, November/December 2019.